On more accurate Hilbert-type inequalities in finite measure spaces (CROSBI ID 193601)
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Krnić, Mario ; Pečarić, Josip
engleski
On more accurate Hilbert-type inequalities in finite measure spaces
In this paper we establish several more precise versions of a general Hilbert-type inequality regarding finite measure spaces. These inequalities are derived by virtue of some new improved versions of the Holder inequality, known from the literature. The main results are then applied to some particular settings with a special emphasis to homogeneous kernels and power weight functions.
Hilbert inequality; Hilbert-type inequalities; Holder inequality; refinement; converse; homogeneous function; incomplete Beta function
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